# Let X1 and X2 be independent exponential random variables, each having rate . Let X(1) = minimum(X1,

## Question:

Let X1 and X2 be independent exponential random variables, each having rate μ.

Let X(1) = minimum(X1, X2) and X(2) = maximum(X1, X2)

Find

**(a)** E[X(1)],

**(b)** Var[X(1)],

**(c)** E[X(2)],

**(d)** Var[X(2)].

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